Q: What are the factor combinations of the number 12,950,525?

 A:
Positive:   1 x 129505255 x 25901057 x 185007525 x 51802135 x 37001543 x 301175175 x 74003215 x 60235301 x 430251075 x 120471505 x 86051721 x 7525
Negative: -1 x -12950525-5 x -2590105-7 x -1850075-25 x -518021-35 x -370015-43 x -301175-175 x -74003-215 x -60235-301 x -43025-1075 x -12047-1505 x -8605-1721 x -7525


How do I find the factor combinations of the number 12,950,525?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 12,950,525, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 12,950,525
-1 -12,950,525

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,950,525.

Example:
1 x 12,950,525 = 12,950,525
and
-1 x -12,950,525 = 12,950,525
Notice both answers equal 12,950,525

With that explanation out of the way, let's continue. Next, we take the number 12,950,525 and divide it by 2:

12,950,525 ÷ 2 = 6,475,262.5

If the quotient is a whole number, then 2 and 6,475,262.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 12,950,525
-1 -12,950,525

Now, we try dividing 12,950,525 by 3:

12,950,525 ÷ 3 = 4,316,841.6667

If the quotient is a whole number, then 3 and 4,316,841.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 12,950,525
-1 -12,950,525

Let's try dividing by 4:

12,950,525 ÷ 4 = 3,237,631.25

If the quotient is a whole number, then 4 and 3,237,631.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 12,950,525
-1 12,950,525
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1572535431752153011,0751,5051,7217,5258,60512,04743,02560,23574,003301,175370,015518,0211,850,0752,590,10512,950,525
-1-5-7-25-35-43-175-215-301-1,075-1,505-1,721-7,525-8,605-12,047-43,025-60,235-74,003-301,175-370,015-518,021-1,850,075-2,590,105-12,950,525

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